If y=|\sin x|^{|x|}, then what is the value of \frac{dy}{dx} at x=\pi/6 ? [NDA II 2018]

Correct Answer is : 2−π6(6ln2−√3π)6

\binom{2^{- \frac{\pi}{6}}(6\ln2-\sqrt{3}\pi)}/{6}

\binom{2^{ \frac{\pi}{6}}(6\ln2+\sqrt{3}\pi)}/{6}

\binom{2^{- \frac{\pi}{6}}(6\ln2+\sqrt{3}\pi)}/{6}

\binom{2^{ \frac{\pi}{6}}(6\ln2-\sqrt{3}\pi)}/{6}

NDA Math Differentiation

Question : 26 of 64

Marks: +1, -0

If y=|sin‌x||x|, then what is the value of

at x=

[NDA II 2018]

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